linear equations examples

Linear equations in one variable of Class 8

ADDITION:

Find the value of x in the equation

x-3=12

As in any equation, we must isolate the variable on either the right or left side. In this problem, we leave the variable on the left and perform the following steps:

question 1. Add 3 to both members of the equation, as follows:

Solution: x - 3 + 3 = 12 + 3

In effect, we are "undoing" the subtraction indicated by the expression x - 3, for the purpose of isolating x in the left member. 

question 2. Combining terms, we have

x = 15

SUBTRACTION:

Find the value of x in the equation: x + 14 = 24

question 1. Subtract 14 from each member. In effect, this undoes the addition indicated in the expression x + 14.

Solution: x + 14 - 14 = 24 - 14

question 2. Combining terms, we have

Solution: x = 10

MULTIPLICATION:

Find the value of y in the equation

y/5 = 10

1. The only way to remove the 5 so that the y can be isolated is to undo the indicated division. Thus we use the inverse of division, which is multiplication. Multiplying both members by 5, we have the following:

5(y/5) = 5(10)

2. Performing the indicated multiplications, we have 

y = 50

DIVISION:

Find the value of x in the equation

3x = 15. 

  • The multiplier 3 may be removed from the x by dividing the left member by 3. This must be balanced by dividing the right member by 3 also, as follows:
  • Performing the indicated divisions, we have x=5

CBSE NCERT Solutions for Class 8 Maths

class 8 maths NCERT solutions Chapter 1: Rational Numbers

class 8 maths NCERT solutions  Chapter 2: Linear Equations in One Variable

class 8 maths NCERT solutions  Chapter 3: Understanding Quadrilaterals

class 8 maths NCERT solutions Chapter 4: Practical Geometry

class 8 maths NCERT solutions  Chapter 5: Data Handling

class 8 maths NCERT solutions  Chapter 6: Square and Square Roots

class 8 maths NCERT solutions  Chapter 7: Cube and Cube Roots

class 8 maths NCERT solutions  Chapter 8: Comparing Quantities

NCERT Class 8 Maths solution Chapter 9: Algebraic Expressions and Identities

class 8 maths NCERT solutions  Chapter 10: Visualizing Solid Shapes

class 8 maths NCERT solutions Chapter 11: Mensuration

class 8 maths NCERT solutions  Chapter 12: Exponents and Powers

class 8 maths NCERT solutions  Chapter 13: Direct and Inverse Proportions

class 8 maths NCERT solutions  Chapter 14: Factorization

class 8 maths NCERT solutions  Chapter 15: Introduction to Graphs

class 8 maths NCERT solutions  Chapter 16: Playing with Numbers

Notes,worksheet and solved question for Maths class 8 

  1.  class 8 maths notes on chapter Liner equation in one variable
  2. class 8 maths notes on chapter algebric expression 
  3. class 8 maths notes on chapter Mensuration 
  4. class 8 maths notes on chapter Square and square roots 
  5. class 8 maths notes on chapter statistice
  6. class 8 maths notes on chapter practical Geometry
  7. class 8 maths notes on chapter commericial maths
  8. class 8 maths notes on chapter solid shape
  9. class 8 maths notes on chapter quadrilaterals
  10. class 8 maths notes on chapter exponents
  11. class 8 maths notes on chapter factorisation 
  12. class 8 maths notes on chapter inverse proporation 
  13. class 8 maths notes on chapter cube and cube roots 

Check your marks in a chapter which you have complited in school from Physics Wallah chapter wise online test just click on the link given below

chapter wise online test for class 8 maths 

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